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Finding the Fourth Proportional to 7,757.15, 11,643.02 and 4,062.03

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Solution

The fourth proportional to 7,757.15, 11,643.02 and 4,062.03 is: 6,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.15 : 11,643.02 = 4,062.03 : x
  2. Step 2: Convert to fraction form
    7,757.15/11,643.02 = 4,062.03/x
  3. Step 3: Cross multiply
    7,757.15x = 11,643.02 × 4,062.03
  4. Step 4: Simplify right side
    7,757.15x = 47,294,339.27
  5. Step 5: Solve for x
    x = 47,294,339.27/7,757.15
  6. Step 6: Final answer
    x = 6,096.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.